A force of 2 kg weight acts on a body of mass 4.9 kg .Find the acceleration produced.
Review and apply Newton's second law of motion.
F = m a
The applied force, F, must be in Newtons to get the acceleration in m/s^2.
A 2 kg mass applies a weight force of 2*g = 19.6 Newtons
a = F/m = 19.6/4.9 = 4.0 m/s^2
To find the acceleration produced by a force, we can use Newton's second law of motion. The formula is:
Force = mass × acceleration
Given:
Force = 2 kg weight
Mass = 4.9 kg
First, let's convert the force from kg weight to Newtons. As we know, 1 kg weight is equal to 9.8 Newtons.
Force = 2 kg weight × 9.8 N/kg weight
Force = 19.6 N
Now, we can rearrange the formula to solve for acceleration:
Acceleration = Force / Mass
Substituting the known values:
Acceleration = 19.6 N / 4.9 kg
Acceleration ≈ 4 m/s²
Therefore, the acceleration produced by the force is approximately 4 m/s².
To find the acceleration produced by the force, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
The given force is 2 kg weight. However, we need to convert this force into standard units (Newtons) because the equation uses the SI unit system.
The weight of an object is the force exerted on it due to gravity. On Earth, the force of gravity acting on an object is equal to the object's mass multiplied by the acceleration due to gravity (9.8 m/s^2).
So, the weight (W) can be calculated as follows:
Weight (W) = mass (m) x acceleration due to gravity (g)
W = 2 kg x 9.8 m/s^2
W = 19.6 N
Now, we can use Newton's second law of motion to find the acceleration (a) produced by the force. The equation is:
Force (F) = mass (m) x acceleration (a)
Since the given force is 19.6 N and the mass is 4.9 kg, we can rearrange the equation and solve for acceleration:
19.6 N = 4.9 kg x a
Dividing both sides of the equation by 4.9 kg gives us:
a = 19.6 N / 4.9 kg
a = 4 m/s^2
Therefore, the acceleration produced by the force of 2 kg weight on a body of mass 4.9 kg is 4 m/s^2.